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Finding the Fourth Proportional to 1,392.99, 1,921.93 and 803.49

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Solution

The fourth proportional to 1,392.99, 1,921.93 and 803.49 is: 1,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.99 : 1,921.93 = 803.49 : x
  2. Step 2: Convert to fraction form
    1,392.99/1,921.93 = 803.49/x
  3. Step 3: Cross multiply
    1,392.99x = 1,921.93 × 803.49
  4. Step 4: Simplify right side
    1,392.99x = 1,544,251.54
  5. Step 5: Solve for x
    x = 1,544,251.54/1,392.99
  6. Step 6: Final answer
    x = 1,108.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.